A greedy algorithm achieves 0.4-approximation for submodular max-min allocation with identical valuations and yields the first constant upper bound on the configuration LP integrality gap.
Restricted max-min allocation: Approximation and integrality gap.arXiv preprint arXiv:1905.06084
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Submodular Max-Min Allocation under Identical Valuations
A greedy algorithm achieves 0.4-approximation for submodular max-min allocation with identical valuations and yields the first constant upper bound on the configuration LP integrality gap.